The Sky Atlantic fantasy, which won 12 awards in 2015, needs just three more wins to become the most-awarded narrative show in Emmy history - beating Frasier's record of 37.
The series based on George RR Martin's novels has already won nine Creative Emmys this year for technical achievement and will compete with Downton Abbey for outstanding drama series.
Britons Idris Elba, Benedict Cumberbatch and Tom Hiddleston are all nominated for best lead actor in a limited series or movie.
Hiddleston is nominated for his role in the popular BBC series The Night Manager, while his co-stars Hugh Laurie and Olivia Colman have earned nods in the supporting role categories.
The People vs OJ Simpson: American Crime Story dominates nominations in the acting categories this year.
Cuba Gooding Jr, who played OJ Simpson, and Courtney B Vance, who portrayed Simpson's lawyer Johnnie Cochran, are both up for best lead actor in a limited series. Sarah Paulson is nominated for best lead actress in a limited series for her role as prosecutor Marcia Clark.
David Schwimmer, who played Simpson's lawyer and friend Robert Kardashian, John Travolta, who portrayed defence lawyer Robert Shapiro, and Sterling K Brown (prosecutor Christopher Darden) are also nominated for best supporting actor in a limited series.
A host of stars from Game Of Thrones are also up for acting awards.
Kit Harington and Peter Dinklage are nominated for best supporting actor in a drama series, while Maisie Williams, Lena Headey and Emilia Clarke are nominated for best supporting actress in a drama series.
Meanwhile, Dame Maggie Smith is up for best supporting actress in a drama series for her performance in Downton Abbey.
Hiddleston will compete for the best lead actor in a limited series award against Elba, who is nominated for Luther, and Cumberbatch, who has been recognised for Sherlock. Bryan Cranston is also nominated for his role as former US president Lyndon B Johnson in Sky Atlantic's film All The Way.
Game Of Thrones and Downton Abbey are nominated for the outstanding drama series award along with Better Call Saul, Homeland, House Of Cards, Mr Robot and The Americans.
The Night Manager is up for best limited television series against Fargo, The People v OJ Simpson: American Crime Story, Roots and American Crime.
US talk show host Jimmy Kimmel will present the 68th Emmy Awards at the Microsoft Theatre in Los Angeles at 5pm local time (10am Monday AEST).
